100001312 has 24 divisors (see below), whose sum is σ = 198833292. Its totient is φ = 49504000.

The previous prime is 100001303. The next prime is 100001329. The reversal of 100001312 is 213100001.

It can be written as a sum of positive squares in 2 ways, for example, as 96746896 + 3254416 = 9836^2 + 1804^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100001312.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12239 + ... + 18702.

Almost surely, 2^100001312 is an apocalyptic number.

It is an amenable number.

100001312 is a deficient number, since it is larger than the sum of its proper divisors (98831980).

100001312 is a wasteful number, since it uses less digits than its factorization.

100001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31052 (or 31044 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100001312 is about 10000.0655997848. The cubic root of 100001312 is about 464.1609132739.

Adding to 100001312 its reverse (213100001), we get a palindrome (313101313).

The spelling of 100001312 in words is "one hundred million, one thousand, three hundred twelve".